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Finding the Fourth Proportional to 187,830.56, 259,222.59 and 102,964.03

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Solution

The fourth proportional to 187,830.56, 259,222.59 and 102,964.03 is: 142,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,830.56 : 259,222.59 = 102,964.03 : x
  2. Step 2: Convert to fraction form
    187,830.56/259,222.59 = 102,964.03/x
  3. Step 3: Cross multiply
    187,830.56x = 259,222.59 × 102,964.03
  4. Step 4: Simplify right side
    187,830.56x = 26,690,601,885.38
  5. Step 5: Solve for x
    x = 26,690,601,885.38/187,830.56
  6. Step 6: Final answer
    x = 142,099.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.